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Finding the Fourth Proportional to 102,701, 154,077.46 and 28,829

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Solution

The fourth proportional to 102,701, 154,077.46 and 28,829 is: 43,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,701 : 154,077.46 = 28,829 : x
  2. Step 2: Convert to fraction form
    102,701/154,077.46 = 28,829/x
  3. Step 3: Cross multiply
    102,701x = 154,077.46 × 28,829
  4. Step 4: Simplify right side
    102,701x = 4,441,899,094.34
  5. Step 5: Solve for x
    x = 4,441,899,094.34/102,701
  6. Step 6: Final answer
    x = 43,250.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.